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Finding the Fourth Proportional to 8,196.68, 12,295.03 and 3,513.65

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Solution

The fourth proportional to 8,196.68, 12,295.03 and 3,513.65 is: 5,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.68 : 12,295.03 = 3,513.65 : x
  2. Step 2: Convert to fraction form
    8,196.68/12,295.03 = 3,513.65/x
  3. Step 3: Cross multiply
    8,196.68x = 12,295.03 × 3,513.65
  4. Step 4: Simplify right side
    8,196.68x = 43,200,432.16
  5. Step 5: Solve for x
    x = 43,200,432.16/8,196.68
  6. Step 6: Final answer
    x = 5,270.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.